{
  "annotation_id": "a27f3a09-79ea-4cfd-ac6e-e06e9a945a73",
  "date_created": "2026-03-02T18:01:17.309000Z",
  "date_modified": "2026-03-02T18:01:17.309000Z",
  "file_hash": "2c53c04907329588182f3a29ecb5e1f454644fbecd426d30ceb64e7820b90d45",
  "private": false,
  "record": {
    "abstract": "A rigorous mathematical proof is given of a class of vector identities that\nprovide a way to separate an arbitrary vector field (over a linear space) into\nthe sum of a radial (i.e., pointing toward the radial unit vector) vector\nfield, minus the divergence of a tensor plus the curl of an axial vector. Such\na separation is applied to the representation of electric current densities\nyielding a specific form of the effective polarization and magnetization fields\nwhich is also discussed in some details.",
    "arxiv_id": "physics/0702127",
    "authors": [
      "M. Bornatici",
      "O. Maj"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "A class of vector identities relevant to the representation of the   electric current density",
    "url": "https://arxiv.org/abs/physics/0702127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22baa765-81e6-44d6-99c8-29351e6d24d7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}